L q -solution of the Robin Problem for the Oseen System

被引：6
|
作者：
Medkova, Dagmar [1 ]
机构：
[1] Acad Sci Czech Republic, Math Inst, Zitna 25, CR-11567 Prague 1, Czech Republic
来源：
ACTA APPLICANDAE MATHEMATICAE | 2016年 / 142卷 / 01期
关键词：
Oseen equations; Robin problem; Single layer potential; LIPSCHITZ-DOMAINS; DIRICHLET PROBLEM; STOKES SYSTEM;
D O I：
10.1007/s10440-015-0014-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We define Oseen single layer and double layer potentials and study their properties. Using the integral equation method we prove the existence and uniqueness of an L (q) -solution of the Robin problem for the Oseen system.
引用
收藏
页码：61 / 79
页数：19
相关论文
共 50 条
  • [41] Local projection stabilization for the Oseen problem
    Dallmann, Helene
    Arndt, Daniel
    Lube, Gert
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2016, 36 (02) : 796 - 823
  • [42] A maximum modulus theorem for the Oseen problem
    S. Kračmar
    D. Medková
    Š. Nečasová
    W. Varnhorn
    Annali di Matematica Pura ed Applicata, 2013, 192 : 1059 - 1076
  • [43] Existence of solution for a nonlocal elliptic problem with a Robin-type data
    Choudhuri, Debajyoti
    Alkhal, Rana
    Saoudi, Kamel
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2025, 70 (03) : 399 - 411
  • [44] Spherical Harmonic Solution of the Robin Problem for the Laplace Equation in Supershaped Shells
    Caratelli, Diego
    Natalini, Pierpaolo
    Ricci, Paolo Emilio
    MODELING IN MATHEMATICS, 2017, 2 : 17 - 30
  • [45] The Robin problem for the Brinkman system and for the Darcy-Forchheimer-Brinkman system
    Medkova, Dagmar
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (05):
  • [46] Solution of the Problem P = L
    Goncharov, Sergey
    Nechesov, Andrey
    MATHEMATICS, 2022, 10 (01)
  • [47] SOLUTION TO A PROBLEM OF FUCHS,L
    FRASER, O
    GORDON, B
    QUARTERLY JOURNAL OF MATHEMATICS, 1974, 25 (97): : 1 - 8
  • [48] A solution for distribution system problem with Lógica Nebulosa: Implementation and experiences
    Bernardo Filho, Orlando
    Pedroza, Aloysio C. P.
    Leão, Jorge L. S.
    Controle y Automacao, 2001, 12 (02): : 102 - 117
  • [49] A solution to the L space problem
    Moore, Justin Tatch
    JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 19 (03) : 717 - 736
  • [50] Fundamental solution for problem of MHD-flow of a solid in Oseen approximation with axial symmetry violation
    Natyaganov, VL
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1995, (06): : 65 - 66
12345